Math

QuestionAdd or subtract these measurements, ensuring the correct significant digits:
8.70 mL - 7.8 mL = \square mL 17.570 mL + 18.8 mL = \square mL 11.9 mL + 13.577 mL = \square mL

Studdy Solution

STEP 1

Assumptions1. We are dealing with addition and subtraction of measurements. . The measurements are given in milliliters (m).
3. We need to ensure that our answers contain the correct number of significant digits. This is determined by the measurement with the least number of decimal places in each problem.

STEP 2

Let's start with the first problem 8.70 m7.8 m8.70 \mathrm{~m} -7.8 \mathrm{~m}

STEP 3

Subtract the two measurements.
8.70 m7.8 m=0.9 m8.70 \mathrm{~m} -7.8 \mathrm{~m} =0.9 \mathrm{~m}

STEP 4

However, we need to ensure that our answer has the correct number of significant digits. The measurement with the least number of decimal places in this problem is 7.8 m7.8 \mathrm{~m}, which has one decimal place. Therefore, our answer should also have one decimal place. So, the answer is correct as it is.

STEP 5

Now, let's move on to the second problem 17.570 m+18.8 m17.570 \mathrm{~m} +18.8 \mathrm{~m}

STEP 6

Add the two measurements.
17.570 m+18.8 m=36.370 m17.570 \mathrm{~m} +18.8 \mathrm{~m} =36.370 \mathrm{~m}

STEP 7

Again, we need to ensure that our answer has the correct number of significant digits. The measurement with the least number of decimal places in this problem is 18. m18. \mathrm{~m}, which has one decimal place. Therefore, our answer should also have one decimal place. So, we round 36.370 m36.370 \mathrm{~m} to one decimal place to get 36.4 m36.4 \mathrm{~m}.

STEP 8

Finally, let's solve the third problem 11. m+13.577 m11. \mathrm{~m} +13.577 \mathrm{~m}

STEP 9

Add the two measurements.
11.9 m+13.577 m=25.477 m11.9 \mathrm{~m} +13.577 \mathrm{~m} =25.477 \mathrm{~m}

STEP 10

Once more, we need to ensure that our answer has the correct number of significant digits. The measurement with the least number of decimal places in this problem is .9 m.9 \mathrm{~m}, which has one decimal place. Therefore, our answer should also have one decimal place. So, we round 25.477 m25.477 \mathrm{~m} to one decimal place to get 25.5 m25.5 \mathrm{~m}.
So, the solutions to the problems are8.70 m7.8 m=0.9 m8.70 \mathrm{~m} -7.8 \mathrm{~m} =0.9 \mathrm{~m}17.570 m+18.8 m=36.4 m17.570 \mathrm{~m} +18.8 \mathrm{~m} =36.4 \mathrm{~m}.9 m+13.577 m=25.5 m.9 \mathrm{~m} +13.577 \mathrm{~m} =25.5 \mathrm{~m}

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